Algebra for Schools and CollegesLongmans, Green & Company, 1895 - 309 páginas |
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Página 27
... unknown quantity . 80. Unknown Quantities are generally represented by the last letters of the alphabet , as x , y , z , etc. 81. Known Quantities are represented by the first letters of the alphabet , as a , b , c , d , etc. Thus in ...
... unknown quantity . 80. Unknown Quantities are generally represented by the last letters of the alphabet , as x , y , z , etc. 81. Known Quantities are represented by the first letters of the alphabet , as a , b , c , d , etc. Thus in ...
Página 28
... quantities are expressed by letters . Thus , abx + cdx = abc . 84. An Identical ... unknown quantities in any term . 87. A Simple Equation is one of the first ... quantity should be brought to the first member , and all the other terms to ...
... quantities are expressed by letters . Thus , abx + cdx = abc . 84. An Identical ... unknown quantities in any term . 87. A Simple Equation is one of the first ... quantity should be brought to the first member , and all the other terms to ...
Página 90
... unknown terms to the first member , and the known terms to the second member of the equation ; unite the similar terms , and divide by the coefficient of the unknown quantity . EXERCISE 55 . x 1 1. 10x + = 51 . 4 x 1 2. x 8 . 8 9x 3. 5 ...
... unknown terms to the first member , and the known terms to the second member of the equation ; unite the similar terms , and divide by the coefficient of the unknown quantity . EXERCISE 55 . x 1 1. 10x + = 51 . 4 x 1 2. x 8 . 8 9x 3. 5 ...
Página 100
... unknown quantity the same in both equations , multiplying each by the proper number . If the signs of these equal coefficients are unlike , add the equa- tions ; if like , subtract one from the other . EXERCISE 58 . Solve the following ...
... unknown quantity the same in both equations , multiplying each by the proper number . If the signs of these equal coefficients are unlike , add the equa- tions ; if like , subtract one from the other . EXERCISE 58 . Solve the following ...
Página 103
... unknown quantities in terms of the other in each equation ; make a new equation from the equal values thus obtained . From this new equation find the value of the one unknown quantity it contains . EXERCISE 60 . Solve the following ...
... unknown quantities in terms of the other in each equation ; make a new equation from the equal values thus obtained . From this new equation find the value of the one unknown quantity it contains . EXERCISE 60 . Solve the following ...
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Algebra for Schools and Colleges (Classic Reprint) William Freeland Sin vista previa disponible - 2018 |
Términos y frases comunes
a²+2ab+b² a²b a²b² a²x a³b a³b² a³b³ ab+b² ab¹ ab² ab³ algebraic arithmetical ax² b²)² binomial factors Clearing of fractions coefficient common factor Complete divisor Completing the square continued fraction convergent cube root decimal divided divisor equal EXAMPLE EXERCISE exponent expression Extract the square Find the H. C. F. find the number form of x² formula given gives harmonical mean Hence integral last term least common Least Common Multiple letters logarithm mantissa minus mixed surd monomial Multiply numbers whose product numbers whose sum operation indicated parenthesis Perform the operation permutations polynomial positive integer quadratic equation quotient radical Reduce remainder result second terms Solve the following square root subtract Transpose and unite trinomial unknown quantities Va² x²y x²y² xy³
Pasajes populares
Página 20 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 21 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 217 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 271 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 220 - If three quantities are in continued proportion, the first is to the third as the square of the first is to the square of the second. Let a : b = b : c. Then, 2=*. b с Therefore, ^xb. = ^x± b с bb Or °r
Página 214 - In any proportion, the product of the means equals the product of the extremes.
Página 284 - For the first place can be filled in n ways, the second in n - 1 ways, the third place in n - 2 ways, and the rth place in n - (r - 1) ways.
Página 258 - If the coefficient of any term be multiplied by the exponent of a in that term, and the result divided by the exponent of x in the term increased by 1, the quotient will be the coefficient of the next following term.
Página 82 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.